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Finding the Fourth Proportional to 474,663.38, 712,111.73 and 142,239.38

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Solution

The fourth proportional to 474,663.38, 712,111.73 and 142,239.38 is: 213,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,663.38 : 712,111.73 = 142,239.38 : x
  2. Step 2: Convert to fraction form
    474,663.38/712,111.73 = 142,239.38/x
  3. Step 3: Cross multiply
    474,663.38x = 712,111.73 × 142,239.38
  4. Step 4: Simplify right side
    474,663.38x = 101,290,326,694.17
  5. Step 5: Solve for x
    x = 101,290,326,694.17/474,663.38
  6. Step 6: Final answer
    x = 213,394.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.